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Finding the Fourth Proportional to 513,694.56, 770,862.60 and 369,615

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Solution

The fourth proportional to 513,694.56, 770,862.60 and 369,615 is: 554,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,694.56 : 770,862.60 = 369,615 : x
  2. Step 2: Convert to fraction form
    513,694.56/770,862.60 = 369,615/x
  3. Step 3: Cross multiply
    513,694.56x = 770,862.60 × 369,615
  4. Step 4: Simplify right side
    513,694.56x = 284,922,379,899
  5. Step 5: Solve for x
    x = 284,922,379,899/513,694.56
  6. Step 6: Final answer
    x = 554,653.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.